"I was almost relieved it happened. I needed a break," Richards said on Tuesday's Watch What Happens Live.
The star, 51, said that she is currently in recovery for alcohol abuse and that she will keep those details private, because she regrets sharing so much with the public the last time she was in recovery.
Before her arrest in April, she said she had been sober for 3-and-a-half years.
"I do share it with my children so that they don't have any worries … but for the public I've decided it's not their business," said Richards.
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Richards also opened up about her sometimes tumultuous relationship with her sister Kyle – and how they have started to reconcile.
"It was hard. It was very difficult. There are certain things she had done towards me that I personally have to ... put aside if I want to move forward," said Richards. "I couldn't return her phone calls for awhile. She called and reached out to me and I just wasn't ready and so I said to her, 'I have to put those things aside and if you want to move forward.' "